Current Talk

PESIN’S THEORY

Location: IMUB

Time: 11:45 – 13:00

Duration: 30 of April || 7-14-21 of May

1. SESSION 1 (Robert Florido)
   • The subadditive ergodic theorem (Krerley and Viana, Subsec 3.3)
   • Oseledets’s Theorem (Pollicott, Subsec 2.3)
     
     
2. SESSION 2 (Gustavo R. Ferreira)
   • Hyperbolic measures: definition, measures with the same Lyapunov exponent (Pollicott, Subsec 4.6)
   • Pesin sets: definition, existence (Pollicott, Chapter 4)
     
     
3. SESSION 3 (Gustavo R. Ferreira)
   • Pesin stable manifold theorem (Pollicott, Section 7.1)
   • Applications: Katok’s closing lemma (Pollicott, Sections 5.2 to 5.5), ergodic decomposition (Pollicott, Section 7.4), and (time allowing) the Pesin-Ruelle inequality (Pollicott, Chapter 3)
     
     
4. SESSION 4 (Anna Jové)
   • Pesin’s Theory in a conformal setting (Urbanski-Roy-Munday, 28.3)